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5\"s with A4/23

6\"s with A5/24

7\"s with A6/25/34

Here’s a strategy tailored for 9/7 Double Bonus Quick Quads, showing that with the correct approach the return rate is 99.55%.

8\"s with A7/26/35

9\"s with A8/27/36/45 10\"s with A9/28/37/46 One pair - aces Two pair 3 to a royal flush - TJQ, JQK
4 to a flush with 3 high cards 800 416770032 0.000021 0.013939
One pair - JJ, QQ, KK 50 2221012980 0.000111 0.004643
4 to a flush with 2 high cards 160 4557688164 0.000229 0.030486
3 to a royal flush - TJK, TQK, JQA, JKA, QKA 80 8457128028 0.000424 0.028285
4 to a flush with 1 high card 55 27257338284 0.001367 0.062674
3 to a royal flush - TJA, TQA, TKA 80 15558988488 0.000781 0.052037
4 to a flush with no high cards 55 68806629204 0.003452 0.15821
One pair - 88, 99, TT 9 196153989828 0.009841 0.073804
Unsuited 89TJ, 9TJQ, TJQK 7 279463319628 0.01402 0.081783
One pair with a kicker - 2\"s with an Ace 5 279008719644 0.013997 0.058322
One pair - 22, 33, 44, 55, 66, 77 3 1336541350020 0.067051 0.167627
Unsuited 2345, 3456, 4567, 5678, 6789, 789T 1 2379363959088 0.119367 0.099472
Suited 9TJ 1 3928927420656 0.197104 0.164254
Suited A23, A34 0 11406496203156 0.572235 0
    19933230517200 1 0.995536

The strategy outlined has an accuracy exceeding 99.9935%, indicating that the margin for error is a mere 0.0065%. To implement this method, examine all potential ways to play your hand and select the first option available. If a particular play isn't recommended, it suggests there's always a superior choice, which should be avoided. For example, if the player holds 2, J Q Q A there are three viable plays: a high pair (of jacks), three to a royal (JQA), and four to a flush (with three high cards). The highest listed is "4 to a flush with 3 high cards," which is thus the best play.

  1. Suited 9JQ
  2. Suited 235
  3. Suited A45
  4. Unsuited JQKA
  5. Suited 345, 456, 567, 678, 789, 89T, 89J, 8TJ, 8JQ, 9TQ, 9JK, 9QK
  6. Unsuited 9JQK, TJQA, TJKA, TQKA
    • Suited 246, 347
    • Suited JQ
    • 3 to a flush with 2 high cards
  7. Suited JK, QK
  8. Suited 234, 245, 346, 356, 457, 467, 568, 578, 679, 689, 78T, 79T
    • Unsuited 89JQ, 8TJQ, 9TJK, 9TQK
    • Suited A24, A25, A35, 78J, 79J, 7TJ, 89Q, 8TQ, 9TK
    • Suited JA, QA, KA
    • Unsuited JQK
    • Unsuited TJQ
    • Unsuited A234, A235, A245, A345, 789J, 78TJ, 79TJ, 89TQ
  9. Ace
  10. Suited TJ
  11. Unsuited JQ
  12. Suited TQ
  13. Suited 236, 256, 357, 367, 458, 468, 478, 569, 579, 589, 67T, 68T, 69T
  14. Unsuited JK, QK
  15. Four outs towards a straight flush with one gap (including A234).
  16. Suited TK
    • Jack, Queen or King
    • Unsuited 2346, 2356, 2456, 3457, 3467, 3567, 4568, 4578, 4678, 5679, 5689, 5789, 678T, 679T, 689T
    • Unsuited 235
    • 3 to a flush with no high cards
    • Suited 34
    • Suited 45
  17. Suited 56, 67, 78, 89, 9T
  18. Discard everything
  19. Other Quick Quads Pages
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  42. Three cards towards a flush including one high card, with potential Quick Quads - suited A56, A67, A78, A89, A9T.
  43. Other Stuff
  44. Jacks or Better quiz
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  47. Strategies
  48. Full-Pay Jacks or Better:
  49. Simple Strategy
  50. (return of 99.46%)
  51. Three cards towards a flush with no high cards present, potential for Quick Quads - suited 257, 268, 279, 28T, 358, 369, 37T, 459, 46T.
  52. Intermediate Strategy
  53. (return of 99.52%)
  54. Optimal Strategy
  55. (return of 99.54%)
  56. Full-Pay Deuces Wild:
  57. Simple Strategy
  58. (return of 100.71%)
  59. Three cards to a flush including one high card (the high card must be either J, Q, or K).
  60. Optimal Strategy
  61. (return of 100.76%)
  62. 2 to a royal (king-high) with no penalty
  63. Quick Quads:
  64. 9/6 Jacks or Better
  65. 8/5 Bonus Poker
  66. 9/7 Double Bonus
  67. 9/6 Double Double Bonus
  68. 8/5 Triple Bonus
  69. Other Strategies:

"Not So Ugly Ducks\"

10/7 Double Bonus

All the credit for this strategy goes to 'JB,' whose exceptional contributions I greatly appreciate.

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